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bekas [8.4K]
2 years ago
7

Help me please I need it

Mathematics
1 answer:
7nadin3 [17]2 years ago
6 0

Answer:

A

Step-by-step explanation:

The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.

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see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

so

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the height of the triangle is the segment BD

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Applying the Pythagorean Theorem

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solve for BD

BD^{2}=BC^{2}-DC^{2}

substitute the values

BD^{2}=16^{2}-8^{2}

BD^{2}=192

BD=\sqrt{192}\ units

therefore

<u>the answer is</u>

the height of the triangle is \sqrt{192}\ units


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